What is the Greatest Common Factor of 34528 and 34534?

Greatest common factor (GCF) of 34528 and 34534 is 2.

GCF(34528,34534) = 2

We will now calculate the prime factors of 34528 and 34534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34528 and 34534.

How to find the GCF of 34528 and 34534?

We will first find the prime factorization of 34528 and 34534. After we will calculate the factors of 34528 and 34534 and find the biggest common factor number .

Step-1: Prime Factorization of 34528

Prime factors of 34528 are 2, 13, 83. Prime factorization of 34528 in exponential form is:

34528 = 2⁵ × 13¹ × 83¹

Step-2: Prime Factorization of 34534

Prime factors of 34534 are 2, 31, 557. Prime factorization of 34534 in exponential form is:

34534 = 2¹ × 31¹ × 557¹

Step-3: Factors of 34528

List of positive integer factors of 34528 that divides 34528 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 83, 104, 166, 208, 332, 416, 664, 1079, 1328, 2158, 2656, 4316, 8632, 17264

Step-4: Factors of 34534

List of positive integer factors of 34534 that divides 34528 without a remainder.

1, 2, 31, 62, 557, 1114, 17267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34528 and 34534. The biggest common factor number is the GCF number.
So the greatest common factor 34528 and 34534 is 2.

Also check out the Least Common Multiple of 34528 and 34534